Sobolev空间上乘子的小波刻画Wavelet characterization for multipliers on Sobolev spaces

Morrey空间

Morrey 空间

） Abstract： Multipliers on Sobolev spaces have been studied heavily in 1980s and stay always as an active topic

Before, one used the capacity of compact set on Sobolev spaces to characterize multiplier spaces and to study the applications related to multiplier spaces, one did not know even they have unconditional basis or not

Here wavelet methods are introduced, the structure of multiplier spaces is analyzed through the following conceptions: some special decomposition of product of functions, Morrey spaces, known wavelet characterization of certain function spaces, dual and the relations between function spaces; and the conclusion of the elements of multiplier spaces are determined by the absolute value of their wavelet coefficient is drawed

Keywords： Real analysis;multiplier spaces;Daubechies wavelet;decomposition of function product;Morrey space;Sobolev space 下载PDF阅读器 PDF全文下载： 初稿 （ 203 ） 作者简介： 通信联系人： 【收录情况】 中国科技论文在线： 杨奇祥

 Sobolev空间上乘子的小波刻画[EB/OL]

北京：中国科技论文在线

关键词： 实分析

通过函数乘积的一些特殊分解

函数乘积的分解

这里引进小波的方法

并一直是一个非常活跃的课题

[2010-04-02]

http://www

paper

edu

cn/releasepaper/content/201004-95

发表期刊： 暂无

总览 评价 杨奇祥 * （ 武汉大学数学与统计学院